Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
240 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 55 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #19152001 | C2 | semidirect |
| 3. #19151800 | C2 | semidirect |
| 4. #19151343 | C2 | semidirect |
| 5. D4⋊#10623494 | C2 | semidirect |
| 6. #19151325 | C2 | semidirect |
| 7. #474×C89 | C2 | semidirect |
| 98. C89 | #1647 | semidirect |
| 101. #474 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152253 | 2 |
| #19152001 | 2 |
| #19151800 | 2 |
| #19151343 | 2 |
| D4⋊#10623494 | 2 |
| #19151325 | 2 |
| #474×C89 | 2 |
| #1647 | 89 |